A descent map for curves with totally degenerate semi-stable reduction
| Autor: | Shahed Sharif |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Algebra and Number Theory
Mathematics - Number Theory 11g20 Picard group Field (mathematics) Absolute Galois group Algebraic closure Discrete valuation ring Combinatorics Mathematics - Algebraic Geometry Residue field FOS: Mathematics Number Theory (math.NT) Abelian group Theta characteristic Algebraic Geometry (math.AG) Mathematics |
| Popis: | Let $K$ be a local field of residue characteristic $p$. Let $C$ be a curve over $K$ whose minimal proper regular model has totally degenerate semi-stable reduction. Under certain hypotheses, we compute the prime-to-$p$ rational torsion subgroup on the Jacobian of $C$. We also determine divisibility of line bundles on $C$, including rationality of theta characteristics and higher spin structures. These computations utilize arithmetic on the special fiber of $C$. 35 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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